{
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  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Multimedia Security Experiment 5\n"
     ]
    }
   ],
   "source": [
    "print(\"Multimedia Security Experiment 5\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import myipf\n",
    "#from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"] # 用来正常显示中文\n",
    "plt.rcParams[\"axes.unicode_minus\"] = False # 用来正常显示负号\n",
    "%config InlineBackend.figure_format = \"svg\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "img1 = plt.imread(\"standard_test_images/lena_gray_512.tif\")\n",
    "img2 = plt.imread(\"standard_test_images/cameraman.tif\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.线性区间灰度变换\n",
    "实现了反转，伽马变换，对数变换，对比度拉伸和对比度分层，尝试了一下利用圆曲线增亮图像。  \n",
    "根据不同的函数，原图像的像素值会发生改变。  \n",
    "伽马变换能够任意赋值，幂值大于1会让图像变暗，幂值小于1会让图像变亮；  \n",
    "对数变换和反对数变换，对数变换会让图像变亮，反对数变换会让图像变暗；  \n",
    "对比度拉伸，可以在(1, 0)到(254, 255)（防止斜率为零，但两点可以有相同的横坐标以实现二值化）任意选取两个点实现对比度拉伸，两点之间的线段斜率大于1可增加对比度；  \n",
    "灰度级分层会将给定的一个区间的像素值都置为同一值，适合检测轮廓，默认基于y=x实现的，也可以基于y=a实现二值化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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      ],
      "text/plain": [
       "<Figure size 432x288 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "End!\n"
     ]
    }
   ],
   "source": [
    "myipf.linearT(img1, \"rv\") # 反转\n",
    "myipf.linearT(img1, \"log\", value=\"r\") # 反对数变换\n",
    "myipf.linearT(img1, \"cr\", (80, 50), (160, 200)) # 对比度拉伸\n",
    "myipf.linearT(img1, \"y=a\",100,200,a=0,value=255) # 基于y=a型的灰度分层\n",
    "print(\"End!\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.直方图"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
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     },
     "metadata": {
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     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "均方差： 108.13776016235352\n",
      "峰值信噪比： 27.79102990997311\n"
     ]
    }
   ],
   "source": [
    "x = np.linspace(0, 255, 256, dtype=np.uint8)\n",
    "n = myipf.histNorm(img1)\n",
    "plt.subplot(221), plt.imshow(img1, cmap=\"gray\"), plt.title(\"原图\"), plt.axis(\"off\")\n",
    "plt.subplot(222), plt.imshow(n, cmap=\"gray\"), plt.title(\"结果\"), plt.axis(\"off\")\n",
    "plt.subplot(223), plt.bar(x, myipf.toHist(img1) / img1.size), plt.title(\"原直方图\")\n",
    "plt.subplot(224), plt.bar(x, myipf.toHist(n) / n.size), plt.plot(x, myipf.toHist(img1) / img1.size, c=\"r\", label=\"原直方图\"), plt.title(\"直方图均衡化\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "myipf.calcMSEPSNR(img1, n)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "离散形式的均衡化并不能得到完美平坦的直方图，均衡化过后的直方图跟原图像还比较相似，PSNR接近28dB。总的来看直方图还是有原图的变化趋势，但均衡化后灰度范围更宽，相对平坦一些，对比度提高了。"
   ]
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